1. ## Find an antiderivative

Find an antiderivative F(x) with F'(x) = f(x) and F(0)=0

f(x)=5e^x

What does the F(0)=0 mean and how do I use that to solve this problem? Any help will be very appreciated!

2. ## Re: Find an antiderivative

Hey kuppina.

F(0)=0 means that for a function F(x) if you substitute x = 0 then you get the answer 0.

Hint: if F(x) = 5e^x + C = 0 when x = 0, then what is C?

3. ## Re: Find an antiderivative

Originally Posted by chiro
Hey kuppina.

F(0)=0 means that for a function F(x) if you substitute x = 0 then you get the answer 0.

Hint: if F(x) = 5e^x + C = 0 when x = 0, then what is C?
Hi chiro. Would C be 5? I have to do this all by hand and I want to make sure I get the right answer.
Thank you!

4. ## Re: Find an antiderivative

If F(0) = 0 then this means that F(0) = 5*e^0 + C = 5 + C = 0. So what does this imply?

5. ## Re: Find an antiderivative

Originally Posted by chiro
If F(0) = 0 then this means that F(0) = 5*e^0 + C = 5 + C = 0. So what does this imply?
-5. Thank you so much!